Spiky strings, giant magnons, and {beta} deformations

Journal Article · Wed Aug 15 04:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.046008· OSTI ID:21027652

Bobev, N P ^[1]; Rashkov, R C ^[2]

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1. Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484 (United States)
2. Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8-10, 1040 Vienna (Austria)

We study rigid string solutions rotating on the S{sup 3} subspace of the {beta}-deformed AdS{sub 5}xS{sup 5} background found by Lunin and Maldacena. For particular values of the parameters of the solutions we find the known giant magnon and single spike strings. We present a single spike string solution on the deformed S{sup 3} and find how the deformation affects the dispersion relation. The possible relation of this string solution to spin chains and the connection of the solutions on the undeformed S{sup 3} to the sine-Gordon model are briefly discussed.

• OSTI ID: 21027652
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DEFORMATION
DISPERSION RELATIONS
MAGNONS
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SINE-GORDON EQUATION
SPIN
STRING MODELS